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Finding the Fourth Proportional to 507,978.43, 762,009.06 and 255,128.83

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Solution

The fourth proportional to 507,978.43, 762,009.06 and 255,128.83 is: 382,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,978.43 : 762,009.06 = 255,128.83 : x
  2. Step 2: Convert to fraction form
    507,978.43/762,009.06 = 255,128.83/x
  3. Step 3: Cross multiply
    507,978.43x = 762,009.06 × 255,128.83
  4. Step 4: Simplify right side
    507,978.43x = 194,410,479,927.20
  5. Step 5: Solve for x
    x = 194,410,479,927.20/507,978.43
  6. Step 6: Final answer
    x = 382,714.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.